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Finding the Fourth Proportional to 171,229.80, 256,844.70 and 160,861.80

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Solution

The fourth proportional to 171,229.80, 256,844.70 and 160,861.80 is: 241,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,229.80 : 256,844.70 = 160,861.80 : x
  2. Step 2: Convert to fraction form
    171,229.80/256,844.70 = 160,861.80/x
  3. Step 3: Cross multiply
    171,229.80x = 256,844.70 × 160,861.80
  4. Step 4: Simplify right side
    171,229.80x = 41,316,500,762.46
  5. Step 5: Solve for x
    x = 41,316,500,762.46/171,229.80
  6. Step 6: Final answer
    x = 241,292.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.